What is the square root of 1/169?

##1/13##

The square root of ##1## is

##sqrt(1) = 1##

The square root of ##169## is

##sqrt(169) = sqrt(13 * 13) = 13##

Hence, the square root of their ratio will be equal to the ratio of their square roots

##sqrt(1/169) = sqrt(1)/sqrt(169) =1/13##

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